[1] Ambrosio V. Fractional p&q Laplacian problems in $\mathbb{R}^N$ with critical growth. Z Anal Ihre Anwend, 2020, 39(3):289-314 [2] Ambrosio V, Isernia T. On a fractional p&q Laplacian problem with critical Sobolev Hardy exponents. Mediter J Math, 2018, 15(2):219-232 [3] Aris R. Mathematical modelling techniques//Research Notes in Mathematics, Vol 24. Boston:Pitman (Advanced Publishing Program), 1979 [4] Bartolo R, Candela A M, Salvatore A. On a class of superlinear p&q Laplacian type equations on $\mathbb{R}^N$. J Math Anal Appl, 2016, 438(1):29-41 [5] Benci V, Fortunato D, Pisani L. Soliton like solutions of a lorentz invariant equation in dimension 3. Rev Math Phys, 1998, 10(3):315-344 [6] Benci V, Micheletti A M, Visetti D. An eigenvalue problem for a quasilinear elliptic field equation. J Differ Equ, 2002, 184(2):299-320 [7] Bhakta M, Mukherjee D. Multiplicity results for (p, q) fractional elliptic equations involving critical nonlinearities. Adv Differ Equ, 2019, 24(3/4):185-228 [8] Brasco L, Mosconi S, Squassina M. Optimal decay of extremals for the fractional Sobolev inequality. Calc Var Partial Differ Equ, 201655(2):23-55 [9] Brézis H, Lieb E H. A relation between pointwise convergence of functions and convergence of functionals. Proc Amer Math Soc, 1983, 88(3):486-490 [10] Candito P, Marano S A, Perera K. On a class of critical (p, q) Laplacian problems. Nonlinear Differ Equ Appl, 2015, 22(6):1959-1972 [11] Chen C S, Bao J F. Existence, nonexistence, and multiplicity of solutions for the fractional p&q Laplacian equation in $\mathbb{R}^N$. Bound Value Probl, 2016, 2016(1):153-169 [12] Cherfils L, Il'Yasov Y. On the stationary solutions of generalized reaction diffusion equations with p&qLaplacian, Commun Pure Appl Anal, 2005, 4(1):9-22 [13] Derrick G H. Comments on nonlinear wave equations as models for elementary particles. J Math Phys, 1964, 5(9):1252-1254 [14] Di Nezza E, Palatucci G, Valdinoc E. Hitchhiker's guide to the fractional Sobolev spaces. Bull Sci Math, 2012, 136(5):521-573 [15] Fife P C. Mathematical aspects of reacting and diffusing systems//Lecture Notes in Biomathematics, Vol 28. Berlin:Springer, 1979 [16] Goel D, Kumar D, Sreenadh K. Regularity and multiplicity results for fractional (p, q) Laplacian equations. Commun Contemp Math, 2019. https://doi.org/10.1142/S0219199719500652 [17] Li G B, Zhang G. Multiple solutions for the p&q-Laplacian problem with critical exponent. Acta Math Sci, 2009, 29B(4):903-918 [18] Mosconi S, Perera K, Squassina M, Yang Y. The Brézis-Nirenberg problem for the fractional p-Laplacian. Calc Var Partial Differ Equ, 2016, 55(4):105-129 [19] Wilhelmsson H. Explosive instabilities of reaction-diffusion equations. Phys Rev A, 1987, 36(2):965-966 [20] Yin H, Yang Z D. Multiplicity of positive solutions to a p&q-Laplacian equation involving critical nonlinearity. Nonlinear Anal, 2012, 75(6):3021-3035 [21] Ambrosio V, Isernia T, Siciliano G. On a fractional p&q Laplacian problem with critical growth. Minimax Theory Appl, 2019, 4(1):1-19 [22] Alves C O, Ambrosio V, Isernia T. Existence, multiplicity and concentration for a class of fractional p&q Laplacian problems in $\mathbb{R}^N$. Commun Pure Appl Anal, 2019, 18(4):2009-2045 |